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Finding the Third Proportional to 209,805.50 and 316,459.50

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Solution

The third proportional to 209,805.50 and 316,459.50 is: 477,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,805.50 : 316,459.50 = 316,459.50 : x
  2. Step 2: Convert to fraction form
    209,805.50/316,459.50 = 316,459.50/x
  3. Step 3: Cross multiply
    209,805.50x = 316,459.50 × 316,459.50
  4. Step 4: Simplify right side
    209,805.50x = 100,146,615,140.25
  5. Step 5: Solve for x
    x = 100,146,615,140.25/209,805.50
  6. Step 6: Final answer
    x = 477,330.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.